Algebra 2 Sem. 2 Final

hole

the factor that cancels on top and bottom

y-coordinate for a hole

from plugging it back into the equation

Vertical asymptote

factor left on the denominator set = to zero

x-int

factor in the numerator that didnt cancel

y-int

the quotient of the constant terms when in standard form

n

degree of the numerator

d

degree of the denominator

n<d

H.A=0

n>d

no H.A.

n=d

H.A.= (numerator coefficient / denominator coefficient)

n-1=d

Slant Asymptote

Slant asymptote

synthetic division by the gcf

a^m/n

ⁿ√(a)^m

a<0

graph is below the H.A.

a>0

graph is above the H.A.

b>1 w/ 0 or 2 reflections A

growth A

0<b<1 w/ 1 reflection

Growth

0<b<1 w/ 0, 2 reflections

decay

b>1

decay

y=d

y=d

log_b^a=x

b^x=a

A₀e^kt

half life

Solve for V.A. in log

set argument equal to zero

olve for smth else

set argument >0 and solve

a₁+(n-1)d

arithmetic sequence

n/2(a₁+a_n)

arithmetic sum

a₁r^n-1

geometirc sequence

d/r

common ratio/ common difference

a₁(1-rⁿ)/1-r

geometric sum